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Finding the Fourth Proportional to 876.46, 1,208.56 and 596.74

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Solution

The fourth proportional to 876.46, 1,208.56 and 596.74 is: 822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.46 : 1,208.56 = 596.74 : x
  2. Step 2: Convert to fraction form
    876.46/1,208.56 = 596.74/x
  3. Step 3: Cross multiply
    876.46x = 1,208.56 × 596.74
  4. Step 4: Simplify right side
    876.46x = 721,196.09
  5. Step 5: Solve for x
    x = 721,196.09/876.46
  6. Step 6: Final answer
    x = 822.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.